Preface to the Instructor 

xi  
Preface to the Student 

xvii  


xxvii  
Photo Credits 

xxxiii  


1  (88) 


2  (15) 


17  (8) 


25  (5) 


30  (9) 


39  (11) 


50  (9) 


59  (12) 


71  (8) 


79  (10) 


84  (5) 


89  (106) 

Rectangular Coordinates; Graphing Utilities 


90  (10) 

Introduction to Graphing Equations 


100  (9) 

Solving Equations Using a Graphing Utility; Linear and Quadratic Equations 


109  (18) 

Setting Up Equations; Applications 


127  (15) 

Radical Equations; Equations Quadratic in Form; Absolute Value Equations 


142  (7) 


149  (14) 


163  (17) 


180  (15) 


186  (6) 


192  (3) 

Linear and Quadratic Functions 


195  (60) 


196  (19) 

Linear Functions and Models 


215  (11) 


226  (11) 


237  (18) 


248  (4) 


252  (1) 


252  (3) 

Functions and Their Graphs 


255  (68) 

Symmetry; Graphing Key Equations 


256  (7) 


263  (13) 

Library of Functions; PiecewiseDefined Functions 


276  (10) 

Graphing Techniques: Transformations 


286  (13) 

Operations on Functions; Composite Functions 


299  (10) 

Mathematical Models: Constructing Functions 


309  (14) 


317  (3) 


320  (1) 


321  (2) 

Polynomial and Rational Functions 


323  (56) 

Power Functions and Models 


324  (6) 

Polynomial Functions and Models 


330  (13) 


343  (12) 

Rational Functions II: Analyzing Graphs 


355  (10) 

Polynomial and Rational Inequalities 


365  (14) 


373  (3) 


376  (1) 


377  (2) 

The Zeros of a Polynomial Function 


379  (38) 


380  (4) 

The Real Zeros of a Polynomial Function 


384  (14) 

Complex Numbers; Quadratic Equations with a Negative Discriminant 


398  (9) 

Complex Zeros; Fundamental Theorem of Algebra 


407  (10) 


412  (2) 


414  (2) 


416  (1) 

Exponential and Logarithmic Functions 


417  (94) 

OnetoOne Functions; Inverse Functions 


418  (13) 


431  (14) 


445  (12) 


457  (10) 

Logarithmic and Exponential Equations 


467  (4) 


471  (11) 


482  (11) 

Exponential, Logarithmic, and Logistic Models 


493  (18) 


502  (6) 


508  (2) 


510  (1) 

Systems of Equations and Inequalities 


511  (98) 

Systems of Linear Equations: Two Equations Containing Two Variables 


512  (11) 

Systems of Linear Equations: Three Equations Containing Three Variables 


523  (6) 

Systems of Linear Equations: Matrices 


529  (18) 

Systems of Linear Equations: Determinants 


547  (12) 


559  (18) 

Systems of Linear Inequalities; Linear Programming 


577  (16) 

Partial Fraction Decomposition 


593  (16) 


601  (5) 


606  (1) 


607  (2) 


609  (100) 


610  (14) 

Right Triangle Trigonometry 


624  (12) 

Computing the Values of Trigonometric Functions of Given Angles 


636  (7) 

Trigonometric Functions of General Angles 


643  (11) 

Properties of the Trigonometric Functions; Unit Circle Approach 


654  (12) 

Graphs of the Sine and Cosine Functions 


666  (16) 

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 


682  (7) 

Phase Shift; Sinusoidal Curve Fitting 


689  (20) 


700  (6) 


706  (2) 


708  (1) 


709  (70) 

The Inverse Sine, Cosine, and Tangent Functions 


710  (12) 

The Inverse Trigonometric Functions (continued) 


722  (5) 


727  (7) 

Sum and Difference Formulas 


734  (11) 

DoubleAngle and HalfAngle Formulas 


745  (10) 

ProducttoSum and SumtoProduct Formulas 


755  (4) 

Trigonometric Equations I 


759  (6) 

Trigonometric Equations II 


765  (14) 


772  (4) 


776  (1) 


777  (2) 

Applications of Trigonometric Functions 


779  (50) 

Applications Involving Right Triangles 


780  (8) 


788  (12) 


800  (6) 


806  (6) 

Simple Harmonic Motion; Damped Motion; Combining Waves 


812  (17) 


822  (4) 


826  (2) 


828  (1) 

Polar Coordinates; Vectors 


829  (62) 


830  (9) 

Polar Equations and Graphs 


839  (18) 

The Complex Plane; De Moivre's Theorem 


857  (9) 


866  (12) 


878  (13) 


886  (3) 


889  (1) 


890  (1) 


891  (90) 


892  (1) 


893  (12) 


905  (12) 


917  (15) 

Rotation of Axes; General Form of a Conic 


932  (9) 

Polar Equations of Conics 


941  (7) 

Plane Curves and Parametric Equations 


948  (15) 

Systems of Nonlinear Equations 


963  (18) 


974  (4) 


978  (1) 


979  (2) 

Sequences; Induction; the Binomial Theorem 


981  (50) 


982  (15) 


997  (6) 

Geometric Sequences; Geometric Series 


1003  (11) 


1014  (4) 


1018  (13) 


1026  (3) 


1029  (1) 


1030  (1) 


1031  (1) 


1032  (6) 

Permutations and Combinations 


1038  (11) 

Probability of Equally Likely Outcomes 


1049  (13) 

Obtaining Probabilities from Data 


1062  (5) 


1067  (4) 


1071  (1) 


1072  
Answers 

1  (1) 
Index 

1  